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Finding the Fourth Proportional to 57,275.10, 85,892.05 and 19,825

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Solution

The fourth proportional to 57,275.10, 85,892.05 and 19,825 is: 29,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,275.10 : 85,892.05 = 19,825 : x
  2. Step 2: Convert to fraction form
    57,275.10/85,892.05 = 19,825/x
  3. Step 3: Cross multiply
    57,275.10x = 85,892.05 × 19,825
  4. Step 4: Simplify right side
    57,275.10x = 1,702,809,891.25
  5. Step 5: Solve for x
    x = 1,702,809,891.25/57,275.10
  6. Step 6: Final answer
    x = 29,730.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.